Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Sin 60 Degrees

    Sin, Cos, Tan, Cot of an Angle
    Function
    Angle (°)

    What is sin 60°?

    Answer

    sin 60° =
    √3/2 ≈ 0.8660

    Angle in radians: 60° = π/3. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places.

    P(cos 60°, sin 60°) = (1/2, √3/2)

    Half of an equilateral triangle with side 1: the hypotenuse is 1 and the leg opposite 30° is 1/2.

    sin 60° = √(1 − 1/4) = √3/2

    xyOP

    P(cos 60°, sin 60°) ≈ (0.5, 0.8660)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.8660.

    All four functions of 60°
    FunctionExact valueDecimal
    sin 60°√3/2≈ 0.8660
    cos 60°1/20.5
    tan 60°√3≈ 1.7321
    cot 60°√3/3≈ 0.5774

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/trigonometry/sin--60Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--60">Sin 60 Degrees: Sine of 60° on the Unit Circle - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Sin 60 Degrees: Sine of 60° on the Unit Circle. sin 60° = √3/2 ≈ 0.8660. The sine is the y-coordinate of the point at 60° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--60/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    57°≈ 0.8387
    58°≈ 0.8480
    59°≈ 0.8572
    60°√3/2
    61°≈ 0.8746
    62°≈ 0.8829
    63°≈ 0.8910
    Recalculate with different values ↑

    FAQ

    What is sin 60°?

    sin 60° = √3/2 ≈ 0.8660

    How to remember sin 30°, sin 45° and sin 60°?

    Write them as √1/2, √2/2, √3/2: sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2. Cosines are the same numbers in reverse order: cos 30° = √3/2, cos 45° = √2/2, cos 60° = 1/2; tan = sin / cos and cot = cos / sin. Here: sin 60° = √3/2 ≈ 0.8660.

    Why does a calculator show −0.3048 for sin 60?

    The calculator is in radian mode (RAD): it takes sin 60 as the sine of 60 radians, sin 60 rad ≈ −0.3048. Switch it to degrees (DEG): sin 60° = √3/2 ≈ 0.8660. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also